Boat goes 5m/s and the river current is moving at 3m/s. At what angle must this rower point upstream to be able to land directly across the river. The answer in NOT 30degrees.
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Answer:
Angle made boat = 120° from the direction of river stream
Explanation:
Velocity of boat = Vb = 5 m/s
Velocity of river = 3 m/s
velocity of boat wrt river Vbr = Vb - Vr = 5 - 3 = 2 m/s
Let θ be the angle made by the boat wrt vertical
For shortest path
tanθ = Vr/Vb = 3/5
θ = tan⁻¹(3/5) = 30.96°
Angle made by boat with direction of river stream = 90° + 30.96°
= 120.96°
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